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hodyreva [135]
3 years ago
15

My question is in the attachment.​

Mathematics
2 answers:
Nikolay [14]3 years ago
8 0

Answer:

5 and 25

Step-by-step explanation:

let the son's age be x then the father's age is x + 20

In 5 years

son = x + 5 and father = x + 20 + 5 = x + 25

Then

x + 25 = 3(x + 5) ← father is three times as old as son

x + 25 = 3x + 15 ( subtract x from both sides )

25 = 2x + 15 ( subtract 15 from both sides )

10 = 2x ( divide both sides by 2 )

5 = x and x + 20 = 5 + 20 = 25

si=on is 5 and father is 25

Zigmanuir [339]3 years ago
7 0

Answer:

The son is 5 and the father is 25.

Step-by-step explanation:

We can do this using  Algebra.

Let the son be x years old.

Then the father's age is x + 20 years.

After 5 years the father's age is x + 25 and the son is x + 5 years.

So we can write the equation:

x + 25 = 3(x + 5)

x + 25 = 3x + 15

25 - 15 = 3x - x

10 = 2x

x = 5.

So the father's present age is 20 + 5 = 25 and the son is 5 years old.

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60 is the interest bro
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suppose your parents are helping you invest money for the future. they open an account for you in January with an initial deposi
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X=year
y=$

y=200(1.003)^12x

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3 years ago
Given: Lines a and b are parallel and line c is a transversal. Prove: Angle2 is supplementary to Angle8 Horizontal and parallel
kondaur [170]

Answer:

The correct option is;

Corresponding angles theorem

Step-by-step explanation:

Type of lines of lines a and b = Horizontal and parallel lines

The transversal to a and b = Line c

The angles between a and c labelled clockwise from the upper left quarter segment =  1, 2, 4 and 3

The angles between b and c labelled clockwise from the upper left segment =  5, 6, 8 and 7

Therefore, we have;

Statement   {}                                                   Reason

1. a║b, c is a transversal   {}                             Given

2. ∠6 ≅ ∠2       {}                                              Corresponding angles theorem

3. m∠6 = m∠2       {}                                         Definition of congruent

4. ∠6 is supp. to ∠8        {}                               Definition of linear pair

5. ∠2 is supp. to ∠8        {}                               Congruent supplement theorem

Corresponding angles are the angles located in spatially similar or matching corners of two lines that have been crossed by the same transversal. When the two lines having a common transversal are parallel, the corresponding angles will be congruent.                        

4 0
3 years ago
Mitchell took out a loan for $1100 at a 19.2% APR, compounded monthly, to
goldenfox [79]

Answer:

C. 18

Step-by-step explanation:

We can find the numbers of payments using following formula

PV = PMT(1- (1+r)^-n)/r

PVr / PMT = 1 - (1+r)^-n

Where

PV = present value = $1,100

PMT = monthly payments = $71.50

r = interest rate = 19.2% / 12 = 1.6%

n = numbers of month = ?

Placing values in the formula

(1+r)^-n = 1 - PVr /PMT

1.016^-n = 1-1100 x 0.016/71.50

1.016^-n = 0.753846154

-n x log 1.016 = log 0.753846154

n = - log 0.753846154 /log 1.016

n = 17.8

n = 18 payments

4 0
3 years ago
Jessica plans to purchase a car in one year at a cost of $30,000. how much should be invested in an account paying 10% compounde
dezoksy [38]
The formula is
A=p (1+r/k)^kt
A fund needed 30000
p Amount invested?
R interest rate 0.1
K compounded semiannual 2
T time 1 year
Solve the formula for p to get
P=A÷(1+r/k)^kt
P=30,000÷(1+0.1÷2)^(2×1)
P=27,210.88
4 0
3 years ago
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